Relating arithmetical techniques of proportion to geometry: The case of Indonesian textbook

Dyana Wijayanti

Abstract

The purpose of this study is to investigate how textbooks introduce and treat the theme of proportion in geometry (similarity) and arithmetic (ratio and proportion), and how these themes are linked to each other in the books. To pursue this aim, we use the anthropological theory of the didactic. Considering 6 common Indonesian textbooks in use, we describe how proportion is explained and appears in examples and exercises, using an explicit reference model of the mathematical organizations of both themes. We also identify how the proportion themes of the geometry and arithmetic domains are linked. Our results show that the explanation in two domains has different approach, but basically they are mathematically related.
Original languageEnglish
Title of host publication Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education
EditorsKonrad Krainer, Nada Vondrova
PublisherEuropean Society for Research in Mathematics Education
Publication date2015
Pages33157-3163
Publication statusPublished - 2015
EventNinth Congress of the European Society for Research in Mathematics Education - Prag, Czech Republic
Duration: 4 Feb 20158 Feb 2015
http://www.cerme9.org/

Conference

ConferenceNinth Congress of the European Society for Research in Mathematics Education
Country/TerritoryCzech Republic
CityPrag
Period04/02/201508/02/2015
Internet address

Fingerprint

Dive into the research topics of 'Relating arithmetical techniques of proportion to geometry: The case of Indonesian textbook'. Together they form a unique fingerprint.

Cite this